Use the image to answer the question.

Question

Line segment upper A upper B slants up left to right on a coordinate plane. The x-axis ranges from negative 5 to 8 and the y-axis ranges from negative 5 to 4 both in 1 unit increments.

To find the midpoint of line segment AB¯¯¯¯¯¯¯¯
, Fernando calculated 6.4+(−2.5)=3.9
. What should his next step be?

(1 point)
Responses

Fernando should divide 3.9 by 2, then repeat both steps using the y-values.
Fernando should divide 3.9 by 2, then repeat both steps using the y -values.

Fernando has already made a mistake. He should have calculated 6.4+2.5=8.9
.
Fernando has already made a mistake. He should have calculated 6.4 plus 2.5 equals 8.9 .

Fernando should subtract the y-values.
Fernando should subtract the y -values.

Fernando has already made a mistake. He should have subtracted the x-values to get 8.9.

Answer 1

To find the midpoint of a line segment defined by points \(A\) and \(B\), you need to average the x-coordinates and the y-coordinates separately. Based on the information, it seems Fernando is working on the x-coordinates.

1. If \(6.4\) is one x-coordinate (let's assume it's \(x_A\)) and \(-2.5\) is the other x-coordinate (let's assume it's \(x_B\)), he should have calculated the midpoint as follows: \[ \text{Midpoint x} = \frac{x_A + x_B}{2} = \frac{6.4 + (-2.5)}{2} \]

2. He seems to have made a mistake by not dividing the sum by 2. After calculating \(6.4 + (-2.5) = 3.9\), he should now divide by 2 to find the average.

The correct next step for Fernando is: Fernando should divide 3.9 by 2, then repeat both steps using the y-values.

So, the correct response is: Fernando should divide 3.9 by 2, then repeat both steps using the y-values.